Gravitational properties of vacuumless defects in the Randall-Sundrum universe

Yu.V. Grats and A.S. Mikhaylov1

Abstract

Topological defects can arise in symmetry-breaking models where the scalar field potential V(|f|) has no minima and is some monotonically decreasing function of |f|. These so-called vacuumless defects are quite different from analogous üsual" defects. We investigate the gravitational field outside a global vacuumless string and a global vacuumless monopole embedded in the brane of the Randall-Sundrum one-brane model. Leading-order corrections to the metric around vacuumless defects on the brane are determined.